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66340656 = 24321732663
BaseRepresentation
bin1111110100010…
…0011100110000
311121211110021100
43331010130300
5113440400111
610325524400
71433612664
oct375043460
9147743240
1066340656
11344a1798
121a273700
131098a035
148b4c8a4
155c56756
hex3f44730

66340656 has 60 divisors (see below), whose sum is σ = 186805008. Its totient is φ = 21977472.

The previous prime is 66340649. The next prime is 66340657. The reversal of 66340656 is 65604366.

66340656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66340656.

It is not an unprimeable number, because it can be changed into a prime (66340657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23581 + ... + 26243.

Almost surely, 266340656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66340656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93402504).

66340656 is an abundant number, since it is smaller than the sum of its proper divisors (120464352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66340656 is a wasteful number, since it uses less digits than its factorization.

66340656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 66340656 is about 8144.9773480348. The cubic root of 66340656 is about 404.8180984685.

The spelling of 66340656 in words is "sixty-six million, three hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2663 2768 3114 4152 5326 6228 7989 8304 10652 12456 15978 21304 23967 24912 31956 42608 47934 63912 95868 127824 191736 383472 460699 921398 1382097 1842796 2764194 3685592 4146291 5528388 7371184 8292582 11056776 16585164 22113552 33170328 66340656